Geometry Translation

Front

What is a translation in geometry?

Back

A translation is a transformation that moves every point of a shape or object a fixed distance in a specified direction.

Front

How do you translate a point (x, y) 5 units left and 2 units up?

Back

The new coordinates will be (x - 5, y + 2).

Front

What is the image of Point F(1, 3) after a translation of 5 units left and 2 units up?

Back

(-4, 5)

Front

What does the transformation (x, y) --> (x + 3, y - 2) indicate?

Back

It indicates a translation 3 units right and 2 units down.

Front

If a triangle has vertices A(1, 2), B(3, 4), and C(5, 6), what are the new coordinates after translating it 2 units left and 3 units up?

Back

A'(-1, 5), B'(1, 7), C'(3, 9).

Front

What is the effect of the transformation (x, y) --> (x, y + 4)?

Back

It translates the point 4 units up.

Front

How do you express a translation of a point (x, y) 2 units down?

Back

The new coordinates will be (x, y - 2).

Front

What is the result of translating point A(2, 5) using the rule (x, y) --> (x + 3, y - 2)?

Back

Point A' will be located at (5, 3).

Front

What does a translation of 5 units right and 1 unit down look like in coordinate form?

Back

(x + 5, y - 1).

Front

If triangle ABC is translated according to the rule (x - 2, y + 9), what happens to its vertices?

Back

Each vertex of triangle ABC will move 2 units left and 9 units up.